2891463460800 has 84 divisors (see below), whose sum is σ = 9486409720056. Its totient is φ = 771056921600.

The previous prime is 2891463460799. The next prime is 2891463460807. The reversal of 2891463460800 is 80643641982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2891463460807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301189311 + ... + 301198910.

Almost surely, 2^{2891463460800} is an apocalyptic number.

2891463460800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2891463460800 is an abundant number, since it is smaller than the sum of its proper divisors (6594946259256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2891463460800 is a wasteful number, since it uses less digits than its factorization.

2891463460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602388246 (or 602388231 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 2891463460800 in words is "two trillion, eight hundred ninety-one billion, four hundred sixty-three million, four hundred sixty thousand, eight hundred".